TSTP Solution File: SEV021^5 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SEV021^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 04:07:24 EDT 2024
% Result : Theorem 4.51s 1.07s
% Output : CNFRefutation 4.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 13
% Syntax : Number of formulae : 81 ( 3 unt; 12 typ; 0 def)
% Number of atoms : 413 ( 9 equ; 0 cnn)
% Maximal formula atoms : 32 ( 5 avg)
% Number of connectives : 915 ( 95 ~; 146 |; 28 &; 627 @)
% ( 3 <=>; 12 =>; 0 <=; 4 <~>)
% Maximal formula depth : 30 ( 8 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 97 ( 97 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 1 con; 0-2 aty)
% Number of variables : 122 ( 1 ^ 113 !; 8 ?; 122 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
a: $tType ).
thf(decl_22,type,
cP: ( a > $o ) > $o ).
thf(decl_23,type,
esk1_1: ( a > $o ) > a ).
thf(decl_24,type,
epred1_1: a > a > $o ).
thf(decl_25,type,
epred2_1: ( a > a > $o ) > a > $o ).
thf(decl_26,type,
esk2_1: ( a > a > $o ) > a ).
thf(decl_27,type,
esk3_1: ( a > a > $o ) > a ).
thf(decl_28,type,
esk4_1: ( a > a > $o ) > a ).
thf(decl_29,type,
esk5_2: a > ( a > a > $o ) > a ).
thf(decl_30,type,
esk6_2: a > ( a > a > $o ) > a ).
thf(decl_35,type,
esk11_1: a > a ).
thf(decl_63,type,
esk39_1: a > a ).
thf(cTHM262_D_EXT2_pme,conjecture,
( ! [X1: a > $o,X2: a > $o] :
( ( ( X1 = X2 )
& ( cP @ X1 ) )
=> ( cP @ X2 ) )
=> ( ( ! [X3: a > $o] :
( ( cP @ X3 )
=> ? [X4: a] : ( X3 @ X4 ) )
& ! [X5: a] :
? [X3: a > $o] :
( ( cP @ X3 )
& ( X3 @ X5 ) )
& ! [X5: a,X6: a,X3: a > $o,X7: a > $o] :
( ( ( cP @ X3 )
& ( cP @ X7 )
& ( X3 @ X5 )
& ( X7 @ X5 )
& ( X3 @ X6 ) )
=> ( X7 @ X6 ) ) )
=> ? [X8: a > a > $o] :
( ( ^ [X9: a > $o] :
( ? [X4: a] : ( X9 @ X4 )
& ! [X5: a] :
( ( X9 @ X5 )
=> ! [X6: a] :
( ( X9 @ X6 )
<=> ( X8 @ X5 @ X6 ) ) ) ) )
= cP ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM262_D_EXT2_pme) ).
thf(c_0_1,negated_conjecture,
~ ( ! [X1: a > $o,X2: a > $o] :
( ( ( X1 = X2 )
& ( cP @ X1 ) )
=> ( cP @ X2 ) )
=> ( ( ! [X3: a > $o] :
( ( cP @ X3 )
=> ? [X4: a] : ( X3 @ X4 ) )
& ! [X5: a] :
? [X3: a > $o] :
( ( cP @ X3 )
& ( X3 @ X5 ) )
& ! [X5: a,X6: a,X3: a > $o,X7: a > $o] :
( ( ( cP @ X3 )
& ( cP @ X7 )
& ( X3 @ X5 )
& ( X7 @ X5 )
& ( X3 @ X6 ) )
=> ( X7 @ X6 ) ) )
=> ? [X8: a > a > $o] :
! [X21: a > $o] :
( ( ? [X4: a] : ( X21 @ X4 )
& ! [X5: a] :
( ( X21 @ X5 )
=> ! [X6: a] :
( ( X21 @ X6 )
<=> ( X8 @ X5 @ X6 ) ) ) )
<=> ( cP @ X21 ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[cTHM262_D_EXT2_pme])])]) ).
thf(c_0_2,negated_conjecture,
! [X22: a > $o,X23: a > $o,X24: a > $o,X26: a,X28: a,X29: a,X30: a > $o,X31: a > $o,X32: a > a > $o,X34: a,X38: a,X39: a,X40: a] :
( ( ( X22 != X23 )
| ~ ( cP @ X22 )
| ( cP @ X23 ) )
& ( ~ ( cP @ X24 )
| ( X24 @ ( esk1_1 @ X24 ) ) )
& ( cP @ ( epred1_1 @ X26 ) )
& ( epred1_1 @ X26 @ X26 )
& ( ~ ( cP @ X30 )
| ~ ( cP @ X31 )
| ~ ( X30 @ X28 )
| ~ ( X31 @ X28 )
| ~ ( X30 @ X29 )
| ( X31 @ X29 ) )
& ( ( epred2_1 @ X32 @ ( esk2_1 @ X32 ) )
| ~ ( epred2_1 @ X32 @ X34 )
| ~ ( cP @ ( epred2_1 @ X32 ) ) )
& ( ~ ( epred2_1 @ X32 @ ( esk3_1 @ X32 ) )
| ~ ( X32 @ ( esk2_1 @ X32 ) @ ( esk3_1 @ X32 ) )
| ~ ( epred2_1 @ X32 @ X34 )
| ~ ( cP @ ( epred2_1 @ X32 ) ) )
& ( ( epred2_1 @ X32 @ ( esk3_1 @ X32 ) )
| ( X32 @ ( esk2_1 @ X32 ) @ ( esk3_1 @ X32 ) )
| ~ ( epred2_1 @ X32 @ X34 )
| ~ ( cP @ ( epred2_1 @ X32 ) ) )
& ( ( epred2_1 @ X32 @ ( esk4_1 @ X32 ) )
| ( cP @ ( epred2_1 @ X32 ) ) )
& ( ~ ( epred2_1 @ X32 @ X39 )
| ( X32 @ X38 @ X39 )
| ~ ( epred2_1 @ X32 @ X38 )
| ( cP @ ( epred2_1 @ X32 ) ) )
& ( ~ ( X32 @ X38 @ X40 )
| ( epred2_1 @ X32 @ X40 )
| ~ ( epred2_1 @ X32 @ X38 )
| ( cP @ ( epred2_1 @ X32 ) ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])])])]) ).
thf(c_0_3,negated_conjecture,
! [X8: a > a > $o,X5: a,X4: a] :
( ( epred2_1 @ X8 @ X5 )
| ( cP @ ( epred2_1 @ X8 ) )
| ~ ( X8 @ X4 @ X5 )
| ~ ( epred2_1 @ X8 @ X4 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
! [X8: a > a > $o] :
( ( epred2_1 @ X8 @ ( esk4_1 @ X8 ) )
| ( cP @ ( epred2_1 @ X8 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_5,negated_conjecture,
! [X1: a > $o] :
( ( X1 @ ( esk1_1 @ X1 ) )
| ~ ( cP @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_6,negated_conjecture,
! [X4: a] : ( cP @ ( epred1_1 @ X4 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_7,negated_conjecture,
! [X4: a,X8: a > a > $o] :
( ( epred2_1 @ X8 @ ( esk2_1 @ X8 ) )
| ~ ( epred2_1 @ X8 @ X4 )
| ~ ( cP @ ( epred2_1 @ X8 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_8,negated_conjecture,
! [X8: a > a > $o,X4: a] :
( ( cP @ ( epred2_1 @ X8 ) )
| ( epred2_1 @ X8 @ X4 )
| ~ ( X8 @ ( esk4_1 @ X8 ) @ X4 ) ),
inference(spm,[status(thm)],[c_0_3,c_0_4]) ).
thf(c_0_9,negated_conjecture,
! [X4: a] : ( epred1_1 @ X4 @ ( esk1_1 @ ( epred1_1 @ X4 ) ) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
thf(c_0_10,plain,
! [X4: a,X8: a > a > $o,X5: a] :
( ( epred2_1 @ X8 @ ( esk2_1 @ X8 ) )
| ( ( epred2_1 @ X8 )
!= ( epred1_1 @ X4 ) )
| ~ ( epred2_1 @ X8 @ X5 ) ),
inference(ext_sup,[status(thm)],[c_0_7,c_0_6]) ).
thf(c_0_11,negated_conjecture,
( ( epred2_1 @ epred1_1 @ ( esk1_1 @ ( epred1_1 @ ( esk4_1 @ epred1_1 ) ) ) )
| ( cP @ ( epred2_1 @ epred1_1 ) ) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
thf(c_0_12,plain,
! [X4: a,X8: a > a > $o,X5: a] :
( ( epred2_1 @ X8 @ ( esk2_1 @ X8 ) )
| ( ( epred1_1 @ X4 @ ( esk5_2 @ X4 @ X8 ) )
<~> ( epred2_1 @ X8 @ ( esk5_2 @ X4 @ X8 ) ) )
| ~ ( epred2_1 @ X8 @ X5 ) ),
inference(neg_ext,[status(thm)],[c_0_10]) ).
thf(c_0_13,negated_conjecture,
! [X4: a] :
( ( cP @ ( epred2_1 @ epred1_1 ) )
| ( epred2_1 @ epred1_1 @ X4 )
| ~ ( epred1_1 @ ( esk1_1 @ ( epred1_1 @ ( esk4_1 @ epred1_1 ) ) ) @ X4 ) ),
inference(spm,[status(thm)],[c_0_3,c_0_11]) ).
thf(c_0_14,plain,
! [X4: a,X8: a > a > $o,X5: a] :
( ( epred2_1 @ X8 @ ( esk5_2 @ X4 @ X8 ) )
| ( epred1_1 @ X4 @ ( esk5_2 @ X4 @ X8 ) )
| ( epred2_1 @ X8 @ ( esk2_1 @ X8 ) )
| ~ ( epred2_1 @ X8 @ X5 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_12]) ).
thf(c_0_15,negated_conjecture,
( ( epred2_1 @ epred1_1 @ ( esk1_1 @ ( epred1_1 @ ( esk1_1 @ ( epred1_1 @ ( esk4_1 @ epred1_1 ) ) ) ) ) )
| ( cP @ ( epred2_1 @ epred1_1 ) ) ),
inference(spm,[status(thm)],[c_0_13,c_0_9]) ).
thf(c_0_16,negated_conjecture,
! [X4: a,X8: a > a > $o,X5: a] :
( ( X8 @ X5 @ X4 )
| ( cP @ ( epred2_1 @ X8 ) )
| ~ ( epred2_1 @ X8 @ X4 )
| ~ ( epred2_1 @ X8 @ X5 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_17,negated_conjecture,
! [X4: a] :
( ( epred2_1 @ epred1_1 @ ( esk5_2 @ X4 @ epred1_1 ) )
| ( epred2_1 @ epred1_1 @ ( esk2_1 @ epred1_1 ) )
| ( epred1_1 @ X4 @ ( esk5_2 @ X4 @ epred1_1 ) )
| ( cP @ ( epred2_1 @ epred1_1 ) ) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
thf(c_0_18,negated_conjecture,
! [X4: a,X8: a > a > $o] :
( ( epred2_1 @ X8 @ ( esk3_1 @ X8 ) )
| ( X8 @ ( esk2_1 @ X8 ) @ ( esk3_1 @ X8 ) )
| ~ ( epred2_1 @ X8 @ X4 )
| ~ ( cP @ ( epred2_1 @ X8 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_19,negated_conjecture,
! [X8: a > a > $o,X4: a] :
( ( X8 @ ( esk4_1 @ X8 ) @ X4 )
| ( cP @ ( epred2_1 @ X8 ) )
| ~ ( epred2_1 @ X8 @ X4 ) ),
inference(spm,[status(thm)],[c_0_16,c_0_4]) ).
thf(c_0_20,negated_conjecture,
( ( epred2_1 @ epred1_1 @ ( esk5_2 @ ( esk4_1 @ epred1_1 ) @ epred1_1 ) )
| ( epred2_1 @ epred1_1 @ ( esk2_1 @ epred1_1 ) )
| ( cP @ ( epred2_1 @ epred1_1 ) ) ),
inference(spm,[status(thm)],[c_0_8,c_0_17]) ).
thf(c_0_21,plain,
! [X4: a,X8: a > a > $o,X5: a] :
( ( X8 @ ( esk2_1 @ X8 ) @ ( esk3_1 @ X8 ) )
| ( epred2_1 @ X8 @ ( esk3_1 @ X8 ) )
| ( ( epred2_1 @ X8 )
!= ( epred1_1 @ X4 ) )
| ~ ( epred2_1 @ X8 @ X5 ) ),
inference(ext_sup,[status(thm)],[c_0_18,c_0_6]) ).
thf(c_0_22,plain,
! [X4: a,X8: a > a > $o] :
( ( epred2_1 @ X8 @ ( esk2_1 @ X8 ) )
| ~ ( epred1_1 @ X4 @ ( esk5_2 @ X4 @ X8 ) )
| ~ ( epred2_1 @ X8 @ ( esk5_2 @ X4 @ X8 ) ) ),
inference(condense,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_12])]) ).
thf(c_0_23,negated_conjecture,
( ( epred1_1 @ ( esk4_1 @ epred1_1 ) @ ( esk5_2 @ ( esk4_1 @ epred1_1 ) @ epred1_1 ) )
| ( epred2_1 @ epred1_1 @ ( esk2_1 @ epred1_1 ) )
| ( cP @ ( epred2_1 @ epred1_1 ) ) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
thf(c_0_24,negated_conjecture,
! [X4: a,X8: a > a > $o] :
( ~ ( epred2_1 @ X8 @ ( esk3_1 @ X8 ) )
| ~ ( X8 @ ( esk2_1 @ X8 ) @ ( esk3_1 @ X8 ) )
| ~ ( epred2_1 @ X8 @ X4 )
| ~ ( cP @ ( epred2_1 @ X8 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_25,negated_conjecture,
! [X4: a] :
( ( epred1_1 @ ( esk2_1 @ epred1_1 ) @ ( esk3_1 @ epred1_1 ) )
| ( epred2_1 @ epred1_1 @ ( esk3_1 @ epred1_1 ) )
| ( cP @ ( epred2_1 @ epred1_1 ) )
| ( ( epred1_1 @ X4 )
!= ( epred2_1 @ epred1_1 ) ) ),
inference(spm,[status(thm)],[c_0_21,c_0_15]) ).
thf(c_0_26,plain,
( ( epred2_1 @ epred1_1 @ ( esk2_1 @ epred1_1 ) )
| ( cP @ ( epred2_1 @ epred1_1 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_20]) ).
thf(c_0_27,negated_conjecture,
! [X8: a > a > $o] :
( ~ ( X8 @ ( esk2_1 @ X8 ) @ ( esk3_1 @ X8 ) )
| ~ ( epred2_1 @ X8 @ ( esk3_1 @ X8 ) )
| ~ ( cP @ ( epred2_1 @ X8 ) ) ),
inference(condense,[status(thm)],[c_0_24]) ).
thf(c_0_28,negated_conjecture,
! [X4: a] :
( ( epred1_1 @ ( esk2_1 @ epred1_1 ) @ ( esk3_1 @ epred1_1 ) )
| ( epred2_1 @ epred1_1 @ ( esk3_1 @ epred1_1 ) )
| ( cP @ ( epred2_1 @ epred1_1 ) )
| ( ( epred1_1 @ X4 @ ( esk11_1 @ X4 ) )
<~> ( epred2_1 @ epred1_1 @ ( esk11_1 @ X4 ) ) ) ),
inference(neg_ext,[status(thm)],[c_0_25]) ).
thf(c_0_29,negated_conjecture,
! [X4: a] :
( ( epred1_1 @ ( esk2_1 @ epred1_1 ) @ X4 )
| ( cP @ ( epred2_1 @ epred1_1 ) )
| ~ ( epred2_1 @ epred1_1 @ X4 ) ),
inference(spm,[status(thm)],[c_0_16,c_0_26]) ).
thf(c_0_30,plain,
! [X4: a,X8: a > a > $o] :
( ( ( epred2_1 @ X8 )
!= ( epred1_1 @ X4 ) )
| ~ ( X8 @ ( esk2_1 @ X8 ) @ ( esk3_1 @ X8 ) )
| ~ ( epred2_1 @ X8 @ ( esk3_1 @ X8 ) ) ),
inference(ext_sup,[status(thm)],[c_0_27,c_0_6]) ).
thf(c_0_31,negated_conjecture,
! [X4: a] :
( ( cP @ ( epred2_1 @ epred1_1 ) )
| ( epred2_1 @ epred1_1 @ X4 )
| ~ ( epred1_1 @ ( esk2_1 @ epred1_1 ) @ X4 ) ),
inference(spm,[status(thm)],[c_0_3,c_0_26]) ).
thf(c_0_32,negated_conjecture,
! [X4: a] :
( ( epred1_1 @ ( esk2_1 @ epred1_1 ) @ ( esk3_1 @ epred1_1 ) )
| ( epred2_1 @ epred1_1 @ ( esk11_1 @ X4 ) )
| ( cP @ ( epred2_1 @ epred1_1 ) )
| ( epred1_1 @ X4 @ ( esk11_1 @ X4 ) ) ),
inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_28]),c_0_29]) ).
thf(c_0_33,plain,
! [X4: a,X8: a > a > $o] :
( ( ( epred1_1 @ X4 @ ( esk6_2 @ X4 @ X8 ) )
<~> ( epred2_1 @ X8 @ ( esk6_2 @ X4 @ X8 ) ) )
| ~ ( X8 @ ( esk2_1 @ X8 ) @ ( esk3_1 @ X8 ) )
| ~ ( epred2_1 @ X8 @ ( esk3_1 @ X8 ) ) ),
inference(neg_ext,[status(thm)],[c_0_30]) ).
thf(c_0_34,negated_conjecture,
( ( epred1_1 @ ( esk2_1 @ epred1_1 ) @ ( esk3_1 @ epred1_1 ) )
| ( epred2_1 @ epred1_1 @ ( esk11_1 @ ( esk2_1 @ epred1_1 ) ) )
| ( cP @ ( epred2_1 @ epred1_1 ) ) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
thf(c_0_35,plain,
! [X4: a,X8: a > a > $o] :
( ( epred2_1 @ X8 @ ( esk6_2 @ X4 @ X8 ) )
| ( epred1_1 @ X4 @ ( esk6_2 @ X4 @ X8 ) )
| ~ ( X8 @ ( esk2_1 @ X8 ) @ ( esk3_1 @ X8 ) )
| ~ ( epred2_1 @ X8 @ ( esk3_1 @ X8 ) ) ),
inference(dynamic_cnf,[status(thm)],[c_0_33]) ).
thf(c_0_36,negated_conjecture,
( ( epred2_1 @ epred1_1 @ ( esk11_1 @ ( esk2_1 @ epred1_1 ) ) )
| ( epred2_1 @ epred1_1 @ ( esk3_1 @ epred1_1 ) )
| ( cP @ ( epred2_1 @ epred1_1 ) ) ),
inference(spm,[status(thm)],[c_0_31,c_0_34]) ).
thf(c_0_37,plain,
! [X4: a] :
( ( epred2_1 @ epred1_1 @ ( esk11_1 @ ( esk2_1 @ epred1_1 ) ) )
| ( epred2_1 @ epred1_1 @ ( esk6_2 @ X4 @ epred1_1 ) )
| ( epred1_1 @ X4 @ ( esk6_2 @ X4 @ epred1_1 ) )
| ( cP @ ( epred2_1 @ epred1_1 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_34]),c_0_36]) ).
thf(c_0_38,negated_conjecture,
( ( epred2_1 @ epred1_1 @ ( esk6_2 @ ( esk4_1 @ epred1_1 ) @ epred1_1 ) )
| ( epred2_1 @ epred1_1 @ ( esk11_1 @ ( esk2_1 @ epred1_1 ) ) )
| ( cP @ ( epred2_1 @ epred1_1 ) ) ),
inference(spm,[status(thm)],[c_0_8,c_0_37]) ).
thf(c_0_39,plain,
! [X4: a,X8: a > a > $o] :
( ~ ( epred1_1 @ X4 @ ( esk6_2 @ X4 @ X8 ) )
| ~ ( epred2_1 @ X8 @ ( esk6_2 @ X4 @ X8 ) )
| ~ ( X8 @ ( esk2_1 @ X8 ) @ ( esk3_1 @ X8 ) )
| ~ ( epred2_1 @ X8 @ ( esk3_1 @ X8 ) ) ),
inference(dynamic_cnf,[status(thm)],[c_0_33]) ).
thf(c_0_40,negated_conjecture,
( ( epred1_1 @ ( esk4_1 @ epred1_1 ) @ ( esk6_2 @ ( esk4_1 @ epred1_1 ) @ epred1_1 ) )
| ( epred2_1 @ epred1_1 @ ( esk11_1 @ ( esk2_1 @ epred1_1 ) ) )
| ( cP @ ( epred2_1 @ epred1_1 ) ) ),
inference(spm,[status(thm)],[c_0_19,c_0_38]) ).
thf(c_0_41,negated_conjecture,
! [X4: a] :
( ( epred1_1 @ ( esk2_1 @ epred1_1 ) @ ( esk3_1 @ epred1_1 ) )
| ( epred2_1 @ epred1_1 @ ( esk3_1 @ epred1_1 ) )
| ~ ( epred2_1 @ epred1_1 @ ( esk11_1 @ X4 ) )
| ~ ( epred1_1 @ X4 @ ( esk11_1 @ X4 ) ) ),
inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_28]),c_0_18]) ).
thf(c_0_42,plain,
( ( epred2_1 @ epred1_1 @ ( esk11_1 @ ( esk2_1 @ epred1_1 ) ) )
| ( cP @ ( epred2_1 @ epred1_1 ) ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_36]),c_0_34]),c_0_38]) ).
thf(c_0_43,negated_conjecture,
( ( epred1_1 @ ( esk2_1 @ epred1_1 ) @ ( esk3_1 @ epred1_1 ) )
| ( cP @ ( epred2_1 @ epred1_1 ) )
| ~ ( epred1_1 @ ( esk2_1 @ epred1_1 ) @ ( esk11_1 @ ( esk2_1 @ epred1_1 ) ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_36]),c_0_29]) ).
thf(c_0_44,negated_conjecture,
( ( epred1_1 @ ( esk2_1 @ epred1_1 ) @ ( esk11_1 @ ( esk2_1 @ epred1_1 ) ) )
| ( cP @ ( epred2_1 @ epred1_1 ) ) ),
inference(spm,[status(thm)],[c_0_29,c_0_42]) ).
thf(c_0_45,negated_conjecture,
( ( epred1_1 @ ( esk2_1 @ epred1_1 ) @ ( esk3_1 @ epred1_1 ) )
| ( cP @ ( epred2_1 @ epred1_1 ) ) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
thf(c_0_46,plain,
! [X4: a] :
( ( cP @ ( epred2_1 @ epred1_1 ) )
| ( ( epred1_1 @ X4 )
!= ( epred2_1 @ epred1_1 ) )
| ~ ( epred2_1 @ epred1_1 @ ( esk3_1 @ epred1_1 ) ) ),
inference(spm,[status(thm)],[c_0_30,c_0_45]) ).
thf(c_0_47,negated_conjecture,
( ( epred2_1 @ epred1_1 @ ( esk3_1 @ epred1_1 ) )
| ( cP @ ( epred2_1 @ epred1_1 ) ) ),
inference(spm,[status(thm)],[c_0_31,c_0_45]) ).
thf(c_0_48,plain,
! [X4: a] :
( ( cP @ ( epred2_1 @ epred1_1 ) )
| ( ( epred1_1 @ X4 @ ( esk39_1 @ X4 ) )
<~> ( epred2_1 @ epred1_1 @ ( esk39_1 @ X4 ) ) ) ),
inference(csr,[status(thm)],[inference(neg_ext,[status(thm)],[c_0_46]),c_0_47]) ).
thf(c_0_49,plain,
! [X4: a] :
( ( epred2_1 @ epred1_1 @ ( esk39_1 @ X4 ) )
| ( cP @ ( epred2_1 @ epred1_1 ) )
| ( epred1_1 @ X4 @ ( esk39_1 @ X4 ) ) ),
inference(dynamic_cnf,[status(thm)],[c_0_48]) ).
thf(c_0_50,negated_conjecture,
( ( epred2_1 @ epred1_1 @ ( esk39_1 @ ( esk4_1 @ epred1_1 ) ) )
| ( cP @ ( epred2_1 @ epred1_1 ) ) ),
inference(spm,[status(thm)],[c_0_8,c_0_49]) ).
thf(c_0_51,negated_conjecture,
! [X1: a > $o,X4: a,X2: a > $o,X5: a] :
( ( X2 @ X5 )
| ~ ( cP @ X1 )
| ~ ( cP @ X2 )
| ~ ( X1 @ X4 )
| ~ ( X2 @ X4 )
| ~ ( X1 @ X5 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_52,plain,
! [X4: a] :
( ( cP @ ( epred2_1 @ epred1_1 ) )
| ~ ( epred2_1 @ epred1_1 @ ( esk39_1 @ X4 ) )
| ~ ( epred1_1 @ X4 @ ( esk39_1 @ X4 ) ) ),
inference(dynamic_cnf,[status(thm)],[c_0_48]) ).
thf(c_0_53,negated_conjecture,
( ( epred1_1 @ ( esk4_1 @ epred1_1 ) @ ( esk39_1 @ ( esk4_1 @ epred1_1 ) ) )
| ( cP @ ( epred2_1 @ epred1_1 ) ) ),
inference(spm,[status(thm)],[c_0_19,c_0_50]) ).
thf(c_0_54,negated_conjecture,
! [X1: a > $o,X5: a,X4: a,X6: a] :
( ( epred1_1 @ X4 @ X5 )
| ~ ( epred1_1 @ X4 @ X6 )
| ~ ( cP @ X1 )
| ~ ( X1 @ X5 )
| ~ ( X1 @ X6 ) ),
inference(spm,[status(thm)],[c_0_51,c_0_6]) ).
thf(c_0_55,negated_conjecture,
! [X4: a] : ( epred1_1 @ X4 @ X4 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_56,plain,
cP @ ( epred2_1 @ epred1_1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_50]) ).
thf(c_0_57,negated_conjecture,
! [X1: a > $o,X5: a,X4: a] :
( ( epred1_1 @ X4 @ X5 )
| ~ ( cP @ X1 )
| ~ ( X1 @ X5 )
| ~ ( X1 @ X4 ) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
thf(c_0_58,negated_conjecture,
! [X4: a] :
( ( epred2_1 @ epred1_1 @ ( esk2_1 @ epred1_1 ) )
| ~ ( epred2_1 @ epred1_1 @ X4 ) ),
inference(spm,[status(thm)],[c_0_7,c_0_56]) ).
thf(c_0_59,negated_conjecture,
epred2_1 @ epred1_1 @ ( esk1_1 @ ( epred2_1 @ epred1_1 ) ),
inference(spm,[status(thm)],[c_0_5,c_0_56]) ).
thf(c_0_60,negated_conjecture,
! [X5: a,X4: a] :
( ( epred1_1 @ X4 @ X5 )
| ~ ( epred2_1 @ epred1_1 @ X5 )
| ~ ( epred2_1 @ epred1_1 @ X4 ) ),
inference(spm,[status(thm)],[c_0_57,c_0_56]) ).
thf(c_0_61,negated_conjecture,
! [X1: a > $o,X4: a,X5: a] :
( ( epred2_1 @ epred1_1 @ X4 )
| ~ ( epred2_1 @ epred1_1 @ X5 )
| ~ ( cP @ X1 )
| ~ ( X1 @ X4 )
| ~ ( X1 @ X5 ) ),
inference(spm,[status(thm)],[c_0_51,c_0_56]) ).
thf(c_0_62,negated_conjecture,
epred2_1 @ epred1_1 @ ( esk2_1 @ epred1_1 ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
thf(c_0_63,negated_conjecture,
~ ( epred2_1 @ epred1_1 @ ( esk3_1 @ epred1_1 ) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_60]),c_0_56])]),c_0_58]) ).
thf(c_0_64,negated_conjecture,
! [X1: a > $o,X4: a] :
( ( epred2_1 @ epred1_1 @ X4 )
| ~ ( X1 @ ( esk2_1 @ epred1_1 ) )
| ~ ( cP @ X1 )
| ~ ( X1 @ X4 ) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
thf(c_0_65,negated_conjecture,
! [X4: a] :
( ( epred1_1 @ ( esk2_1 @ epred1_1 ) @ ( esk3_1 @ epred1_1 ) )
| ~ ( epred2_1 @ epred1_1 @ X4 ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_56]),c_0_63]) ).
thf(c_0_66,negated_conjecture,
! [X5: a,X4: a] :
( ( epred2_1 @ epred1_1 @ X4 )
| ~ ( epred2_1 @ epred1_1 @ X5 )
| ~ ( epred1_1 @ X5 @ X4 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_60]),c_0_6]),c_0_62])]) ).
thf(c_0_67,negated_conjecture,
epred1_1 @ ( esk2_1 @ epred1_1 ) @ ( esk3_1 @ epred1_1 ),
inference(spm,[status(thm)],[c_0_65,c_0_62]) ).
thf(c_0_68,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_62])]),c_0_63]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEV021^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.13 % Command : run_E %s %d THM
% 0.13/0.33 % Computer : n021.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sun May 19 18:55:38 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.18/0.46 Running higher-order theorem proving
% 0.18/0.46 Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.51/1.07 # Version: 3.1.0-ho
% 4.51/1.07 # Preprocessing class: HSMSSMSSSSSNHHA.
% 4.51/1.07 # Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 4.51/1.07 # Starting full_lambda_6 with 900s (3) cores
% 4.51/1.07 # Starting post_as_ho1 with 300s (1) cores
% 4.51/1.07 # Starting lpo6_lambda_fix with 300s (1) cores
% 4.51/1.07 # Starting ho_unfolding_1 with 300s (1) cores
% 4.51/1.07 # Starting new_ho_10_unif with 300s (1) cores
% 4.51/1.07 # Starting ho_unfolding_2 with 300s (1) cores
% 4.51/1.07 # new_ho_10_unif with pid 19052 completed with status 0
% 4.51/1.07 # Result found by new_ho_10_unif
% 4.51/1.07 # Preprocessing class: HSMSSMSSSSSNHHA.
% 4.51/1.07 # Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 4.51/1.07 # Starting full_lambda_6 with 900s (3) cores
% 4.51/1.07 # Starting post_as_ho1 with 300s (1) cores
% 4.51/1.07 # Starting lpo6_lambda_fix with 300s (1) cores
% 4.51/1.07 # Starting ho_unfolding_1 with 300s (1) cores
% 4.51/1.07 # Starting new_ho_10_unif with 300s (1) cores
% 4.51/1.07 # No SInE strategy applied
% 4.51/1.07 # Search class: HGHNS-FFSF11-SHHFFMBN
% 4.51/1.07 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 4.51/1.07 # Starting ho_unfolding_3 with 163s (1) cores
% 4.51/1.07 # ho_unfolding_3 with pid 19054 completed with status 0
% 4.51/1.07 # Result found by ho_unfolding_3
% 4.51/1.07 # Preprocessing class: HSMSSMSSSSSNHHA.
% 4.51/1.07 # Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 4.51/1.07 # Starting full_lambda_6 with 900s (3) cores
% 4.51/1.07 # Starting post_as_ho1 with 300s (1) cores
% 4.51/1.07 # Starting lpo6_lambda_fix with 300s (1) cores
% 4.51/1.07 # Starting ho_unfolding_1 with 300s (1) cores
% 4.51/1.07 # Starting new_ho_10_unif with 300s (1) cores
% 4.51/1.07 # No SInE strategy applied
% 4.51/1.07 # Search class: HGHNS-FFSF11-SHHFFMBN
% 4.51/1.07 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 4.51/1.07 # Starting ho_unfolding_3 with 163s (1) cores
% 4.51/1.07 # Preprocessing time : 0.001 s
% 4.51/1.07 # Presaturation interreduction done
% 4.51/1.07
% 4.51/1.07 # Proof found!
% 4.51/1.07 # SZS status Theorem
% 4.51/1.07 # SZS output start CNFRefutation
% See solution above
% 4.51/1.07 # Parsed axioms : 3
% 4.51/1.07 # Removed by relevancy pruning/SinE : 0
% 4.51/1.07 # Initial clauses : 13
% 4.51/1.07 # Removed in clause preprocessing : 3
% 4.51/1.07 # Initial clauses in saturation : 10
% 4.51/1.07 # Processed clauses : 5934
% 4.51/1.07 # ...of these trivial : 152
% 4.51/1.07 # ...subsumed : 4864
% 4.51/1.07 # ...remaining for further processing : 918
% 4.51/1.07 # Other redundant clauses eliminated : 0
% 4.51/1.07 # Clauses deleted for lack of memory : 0
% 4.51/1.07 # Backward-subsumed : 41
% 4.51/1.07 # Backward-rewritten : 359
% 4.51/1.07 # Generated clauses : 34449
% 4.51/1.07 # ...of the previous two non-redundant : 29595
% 4.51/1.07 # ...aggressively subsumed : 0
% 4.51/1.07 # Contextual simplify-reflections : 16
% 4.51/1.07 # Paramodulations : 34336
% 4.51/1.07 # Factorizations : 18
% 4.51/1.07 # NegExts : 36
% 4.51/1.07 # Equation resolutions : 0
% 4.51/1.07 # Disequality decompositions : 0
% 4.51/1.07 # Total rewrite steps : 7462
% 4.51/1.07 # ...of those cached : 6811
% 4.51/1.07 # Propositional unsat checks : 0
% 4.51/1.07 # Propositional check models : 0
% 4.51/1.07 # Propositional check unsatisfiable : 0
% 4.51/1.07 # Propositional clauses : 0
% 4.51/1.07 # Propositional clauses after purity: 0
% 4.51/1.07 # Propositional unsat core size : 0
% 4.51/1.07 # Propositional preprocessing time : 0.000
% 4.51/1.07 # Propositional encoding time : 0.000
% 4.51/1.07 # Propositional solver time : 0.000
% 4.51/1.07 # Success case prop preproc time : 0.000
% 4.51/1.07 # Success case prop encoding time : 0.000
% 4.51/1.07 # Success case prop solver time : 0.000
% 4.51/1.07 # Current number of processed clauses : 487
% 4.51/1.07 # Positive orientable unit clauses : 30
% 4.51/1.07 # Positive unorientable unit clauses: 0
% 4.51/1.07 # Negative unit clauses : 1
% 4.51/1.07 # Non-unit-clauses : 456
% 4.51/1.07 # Current number of unprocessed clauses: 22846
% 4.51/1.07 # ...number of literals in the above : 86705
% 4.51/1.07 # Current number of archived formulas : 0
% 4.51/1.07 # Current number of archived clauses : 431
% 4.51/1.07 # Clause-clause subsumption calls (NU) : 289693
% 4.51/1.07 # Rec. Clause-clause subsumption calls : 168870
% 4.51/1.07 # Non-unit clause-clause subsumptions : 4921
% 4.51/1.07 # Unit Clause-clause subsumption calls : 437
% 4.51/1.07 # Rewrite failures with RHS unbound : 0
% 4.51/1.07 # BW rewrite match attempts : 1135
% 4.51/1.07 # BW rewrite match successes : 29
% 4.51/1.07 # Condensation attempts : 5934
% 4.51/1.07 # Condensation successes : 3
% 4.51/1.07 # Termbank termtop insertions : 963104
% 4.51/1.07 # Search garbage collected termcells : 610
% 4.51/1.07
% 4.51/1.07 # -------------------------------------------------
% 4.51/1.07 # User time : 0.574 s
% 4.51/1.07 # System time : 0.013 s
% 4.51/1.07 # Total time : 0.587 s
% 4.51/1.07 # Maximum resident set size: 1864 pages
% 4.51/1.07
% 4.51/1.07 # -------------------------------------------------
% 4.51/1.07 # User time : 0.574 s
% 4.51/1.07 # System time : 0.016 s
% 4.51/1.07 # Total time : 0.590 s
% 4.51/1.07 # Maximum resident set size: 1728 pages
% 4.51/1.07 % E---3.1 exiting
% 4.51/1.07 % E exiting
%------------------------------------------------------------------------------